An alarm clock is set to ring for a total of 1.00 minute

It is placed on a spaceship moving at 0.6 c

According to Mission Control on Earth, the alarm clock rings for:

A) 0.60 min

B) 0.64 min

C) 0.80 min

D) 1.00 min

E) 1.25 min

The relationship if time according to the speed of light can be represented using Lorentz' time-dilation equation:

T = To / sqrt (1 - (v^2/c^2))

Where:

T = new time = ?

To = original time = 1 minute

v = velocity = 0.6c

c = speed of light

Substituting the given values:

T = 1 / sqrt (1 - (0.6c^2/c^2))

T = 1 / sqrt (1 - (0.6^2))

T = 1.25

Therefore, the alarm clock would ring for 1.25 minutes.